Testing fixed points in the 2D O(3) non-linear sigma model
High Energy Physics - Lattice
2009-10-31 v2 Statistical Mechanics
Abstract
Using high statistic numerical results we investigate the properties of the O(3) non-linear 2D sigma-model. Our main concern is the detection of an hypothetical Kosterlitz-Thouless-like (KT) phase transition which would contradict the asymptotic freedom scenario. Our results do not support such a KT-like phase transition.
Cite
@article{arxiv.hep-lat/9808003,
title = {Testing fixed points in the 2D O(3) non-linear sigma model},
author = {B. Alles and G. Cella and M. Dilaver and Y. Gunduc},
journal= {arXiv preprint arXiv:hep-lat/9808003},
year = {2009}
}
Comments
Latex, 7 pgs, 4 eps-figures. Added more analysis on the KT-transition. 4-loop beta function contains corrections from D.-S.Shin (hep-lat/9810025). In a note-added we comment on the consequences of these corrections on our previous reference [16]